Question

a rectangular prism has a length of 14 centimeters, a height of 4 1/2 centimeters, and a volume of 756 cubic centimeters. what is the width of the prism? centimeters

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$, where $V$ is volume, $l$ is length, $w$ is width and $h$ is height. We need to solve for $w$.

Step2: Rearrange the formula

We can rewrite the formula as $w=\frac{V}{l\times h}$.

Step3: Substitute values

Given $V = 756$ cm³, $l = 14$ cm and $h=4\frac{1}{2}=\frac{9}{2}$ cm. Then $l\times h=14\times\frac{9}{2}=63$ cm².

Step4: Calculate width

$w=\frac{756}{63} = 12$ cm.

Answer:

12